The fundamental process amounts to constructing totally symmetric quasigroups (by building their Cayley tables) and then checking completed
instances for isomorphism to quasigroups already constructed. In [1]} McKay and Wanless describe a technique for
extending a Bailey graph to a directed graph that completely describes the quasigroup; this we do, allowing us to use the
nauty graph automorphism software [2]} to test for isomorphism.
